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Pioneering works on distribution the...

Hoshino, Nobuaki.

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Pioneering works on distribution theory = in honor of Masaaki Sibuya /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Pioneering works on distribution theory/ edited by Nobuaki Hoshino, Shuhei Mano, Takaaki Shimura.
其他題名:	in honor of Masaaki Sibuya /
其他作者:	Hoshino, Nobuaki.
出版者:	Singapore :Springer Singapore : : 2020.,
面頁冊數:	vii, 121 p. :ill., digital ;24 cm.
內容註:	Gibbs Base Random Partitions -- Asymptotic and approximate discrete distributions for length of Ewens sampling formula -- An Error Bound for the Normal Approximation to the Length of a Ewens Partition -- Distribution of Number of Levels in [s]-specified Random Permutation -- Properties of General Systems of Orthogonal Polynomials with Symmetric Matrix Argument -- Conjugate Analysis under Jeffreys' Prior with its Implications to Likelihood Inference.
Contained By:	Springer Nature eBook
標題:	Distribution (Probability theory) -
電子資源:	https://doi.org/10.1007/978-981-15-9663-6
ISBN:	9789811596636

Pioneering works on distribution theory = in honor of Masaaki Sibuya /
Pioneering works on distribution theoryin honor of Masaaki Sibuya /[electronic resource] :edited by Nobuaki Hoshino, Shuhei Mano, Takaaki Shimura. - Singapore :Springer Singapore :2020. - vii, 121 p. :ill., digital ;24 cm. - SpringerBriefs in statistics, JSS research series in statistics,2364-0057. - SpringerBriefs in statistics.JSS research series in statistics..

Gibbs Base Random Partitions -- Asymptotic and approximate discrete distributions for length of Ewens sampling formula -- An Error Bound for the Normal Approximation to the Length of a Ewens Partition -- Distribution of Number of Levels in [s]-specified Random Permutation -- Properties of General Systems of Orthogonal Polynomials with Symmetric Matrix Argument -- Conjugate Analysis under Jeffreys' Prior with its Implications to Likelihood Inference.

This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated. The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior.

ISBN: 9789811596636

Standard No.: 10.1007/978-981-15-9663-6doiSubjects--Topical Terms:

533179
Distribution (Probability theory)

LC Class. No.: QA273.6 / .P56 2020

Dewey Class. No.: 519.24

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